Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
45914 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.5344 | 0.6715 | 0.7957 | [M:[0.8779, 1.1221], q:[0.9638, 0.5973], qb:[0.2805, 0.4027], phi:[0.4389]] | [M:[[-2, -2], [2, 2]], q:[[6, 3], [-5, -2]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | ${}M_{1}M_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1 | t^2.05 + 2*t^2.634 + 2*t^3. + t^3.366 + 2*t^3.733 + 2*t^4.099 + 3*t^4.683 + 2*t^5.05 + 2*t^5.267 + t^5.416 + 2*t^5.634 + 2*t^5.783 + t^6. + 2*t^6.149 + 2*t^6.366 - t^6.584 + 6*t^6.733 - 2*t^6.95 + 4*t^7.099 + t^7.317 + 4*t^7.466 + 4*t^7.832 + 2*t^7.901 - t^8.05 + 3*t^8.199 + 2*t^8.416 - 2*t^8.634 + 6*t^8.783 - t^4.317/y - t^6.95/y + (3*t^7.683)/y + (2*t^8.05)/y + t^8.267/y + t^8.416/y + (4*t^8.634)/y + (2*t^8.783)/y - t^4.317*y - t^6.95*y + 3*t^7.683*y + 2*t^8.05*y + t^8.267*y + t^8.416*y + 4*t^8.634*y + 2*t^8.783*y | g1^3*g2^3*t^2.05 + (2*t^2.634)/(g1^2*g2^2) + (g1^5*t^3.)/g2 + (g2*t^3.)/g1^5 + g1^2*g2^2*t^3.366 + g1^9*g2^3*t^3.733 + (g2^5*t^3.733)/g1 + 2*g1^6*g2^6*t^4.099 + 3*g1*g2*t^4.683 + g1^8*g2^2*t^5.05 + (g2^4*t^5.05)/g1^2 + (2*t^5.267)/(g1^4*g2^4) + g1^5*g2^5*t^5.416 + (g1^3*t^5.634)/g2^3 + t^5.634/(g1^7*g2) + g1^12*g2^6*t^5.783 + g1^2*g2^8*t^5.783 - t^6. + (g1^10*t^6.)/g2^2 + (g2^2*t^6.)/g1^10 + 2*g1^9*g2^9*t^6.149 + g1^7*g2*t^6.366 + (g2^3*t^6.366)/g1^3 - t^6.584/(g1^5*g2^5) + g1^14*g2^2*t^6.733 + 4*g1^4*g2^4*t^6.733 + (g2^6*t^6.733)/g1^6 - (g1^2*t^6.95)/g2^4 - t^6.95/(g1^8*g2^2) + 2*g1^11*g2^5*t^7.099 + 2*g1*g2^7*t^7.099 + t^7.317/(g1*g2) + g1^18*g2^6*t^7.466 + 2*g1^8*g2^8*t^7.466 + (g2^10*t^7.466)/g1^2 + 2*g1^15*g2^9*t^7.832 + 2*g1^5*g2^11*t^7.832 + (2*t^7.901)/(g1^6*g2^6) + g1^13*g2*t^8.05 - 3*g1^3*g2^3*t^8.05 + (g2^5*t^8.05)/g1^7 + 3*g1^12*g2^12*t^8.199 + g1^10*g2^4*t^8.416 + g2^6*t^8.416 + t^8.634/g1^12 + (g1^8*t^8.634)/g2^4 - (4*t^8.634)/(g1^2*g2^2) + g1^17*g2^5*t^8.783 + 4*g1^7*g2^7*t^8.783 + (g2^9*t^8.783)/g1^3 - t^4.317/(g1*g2*y) - t^6.95/(g1^3*g2^3*y) + (3*g1*g2*t^7.683)/y + (g1^8*g2^2*t^8.05)/y + (g2^4*t^8.05)/(g1^2*y) + t^8.267/(g1^4*g2^4*y) + (g1^5*g2^5*t^8.416)/y + (2*g1^3*t^8.634)/(g2^3*y) + (2*t^8.634)/(g1^7*g2*y) + (g1^12*g2^6*t^8.783)/y + (g1^2*g2^8*t^8.783)/y - (t^4.317*y)/(g1*g2) - (t^6.95*y)/(g1^3*g2^3) + 3*g1*g2*t^7.683*y + g1^8*g2^2*t^8.05*y + (g2^4*t^8.05*y)/g1^2 + (t^8.267*y)/(g1^4*g2^4) + g1^5*g2^5*t^8.416*y + (2*g1^3*t^8.634*y)/g2^3 + (2*t^8.634*y)/(g1^7*g2) + g1^12*g2^6*t^8.783*y + g1^2*g2^8*t^8.783*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
46068 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.516 | 0.641 | 0.805 | [M:[0.8, 1.2], q:[1.1, 0.5], qb:[0.3, 0.5], phi:[0.4]] | 3*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 129/250, c: 641/1000, M1: 4/5, M2: 6/5, q1: 11/10, q2: 1/2, qb1: 3/10, qb2: 1/2, phi1: 2/5} |
46028 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 0.5333 | 0.6681 | 0.7983 | [M:[0.8626, 1.1374], q:[0.981, 0.5878], qb:[0.2748, 0.4313], phi:[0.4313]] | t^2.118 + 2*t^2.588 + t^2.943 + t^3.057 + t^3.412 + t^3.767 + t^3.882 + 2*t^4.237 + 3*t^4.706 + t^5.061 + 3*t^5.176 + 2*t^5.531 + t^5.645 + 2*t^5.886 - t^4.294/y - t^4.294*y | detail | |
46000 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.489 | 0.6143 | 0.7961 | [M:[0.8016, 1.1984], q:[1.1984, 0.4008], qb:[0.4008, 0.3967], phi:[0.4008]] | 2*t^2.393 + 2*t^2.405 + t^3.583 + t^3.595 + t^3.607 + 4*t^4.785 + 5*t^4.798 + 2*t^4.81 + 2*t^5.976 + 2*t^5.988 - t^6. - t^4.202/y - t^4.202*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
45852 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.6485 | 0.7964 | 0.8143 | [M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]] | t^2.07 + 2*t^2.113 + t^2.83 + t^3.844 + 2*t^3.865 + 2*t^3.908 + t^4.141 + 2*t^4.184 + 3*t^4.226 + t^4.901 + 3*t^4.943 + t^5.66 + t^5.914 + 2*t^5.936 + t^5.957 + 4*t^5.979 - 3*t^6. - t^4.057/y - t^4.057*y | detail |